Answer: y = 54(1.06)^t
Explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t